2.3.12 Please include reasons for each step. From The Real Numbers and Real Analysis https://muhammadalfaridzi.files.wordpress.com/2014/05/the_real_numbers_and_real_analysis.pdf 2.3.12 Prove Lemma...


2.3.12


Please include reasons for each step.


From The Real Numbers and Real Analysis


https://muhammadalfaridzi.files.wordpress.com/2014/05/the_real_numbers_and_real_analysis.pdf



2.3.12<br>Prove Lemma 2.3.10 (2). Only need to prove #2 Of Lemma 2.3.10.<br>Lemma 2.3.10. Let a E R.<br>1. a s0 if and only if a < ɛ for all ɛ >0<br>2. a 2 0 if and only if a > -e for all ɛ > 0<br>3. a = 0 if and only if lal < ɛ for all ɛ > 0.<br>

Extracted text: 2.3.12 Prove Lemma 2.3.10 (2). Only need to prove #2 Of Lemma 2.3.10. Lemma 2.3.10. Let a E R. 1. a s0 if and only if a < ɛ="" for="" all="" ɛ="">0 2. a 2 0 if and only if a > -e for all ɛ > 0 3. a = 0 if and only if lal < ɛ="" for="" all="" ɛ=""> 0.

Jun 05, 2022
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